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Finding the Third Proportional to 478,401.75 and 770,823

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Solution

The third proportional to 478,401.75 and 770,823 is: 1,241,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,401.75 : 770,823 = 770,823 : x
  2. Step 2: Convert to fraction form
    478,401.75/770,823 = 770,823/x
  3. Step 3: Cross multiply
    478,401.75x = 770,823 × 770,823
  4. Step 4: Simplify right side
    478,401.75x = 594,168,097,329
  5. Step 5: Solve for x
    x = 594,168,097,329/478,401.75
  6. Step 6: Final answer
    x = 1,241,985.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.